Evaluate
\frac{3ux-35x+6u}{5\left(x+2\right)}
Differentiate w.r.t. x
-\frac{14}{\left(x+2\right)^{2}}
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\frac{3u}{5}-\frac{7x}{x+2}
Add 2 and 3 to get 5.
\frac{3u\left(x+2\right)}{5\left(x+2\right)}-\frac{5\times 7x}{5\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and x+2 is 5\left(x+2\right). Multiply \frac{3u}{5} times \frac{x+2}{x+2}. Multiply \frac{7x}{x+2} times \frac{5}{5}.
\frac{3u\left(x+2\right)-5\times 7x}{5\left(x+2\right)}
Since \frac{3u\left(x+2\right)}{5\left(x+2\right)} and \frac{5\times 7x}{5\left(x+2\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3ux+6u-35x}{5\left(x+2\right)}
Do the multiplications in 3u\left(x+2\right)-5\times 7x.
\frac{3ux+6u-35x}{5x+10}
Expand 5\left(x+2\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}